Question

Which quadratic function does the graph represent with a vertex of negative 1 and negative 6​

Answer 1

see explanation

Explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h , k) = (- 1, - 6), hence

y = a(x + 1)² - 6

To find a substitute (0, - 4) into the equation

- 4 = a - 6 ⇒ a = - 4 + 6 = 2

y = 2(x + 1)² - 6 ← equation in vertex form

expand and simplify

y = 2(x² + 2 + 1) - 6

= 2x² + 4x + 2 - 6

y = 2x² + 4x - 4 ← equation in standard form